TSTP Solution File: SEU802^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU802^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eV4kaXI5yT true
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:17:58 EDT 2023
% Result : Theorem 0.20s 0.78s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 38 ( 15 unt; 12 typ; 0 def)
% Number of atoms : 80 ( 21 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 263 ( 14 ~; 8 |; 10 &; 205 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 12 usr; 8 con; 0-4 aty)
% ( 3 !!; 3 ??; 0 @@+; 0 @@-)
% Number of variables : 78 ( 33 ^; 38 !; 7 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(ap_type,type,
ap: $i > $i > $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(surjFuncSet_type,type,
surjFuncSet: $i > $i > $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(surjective_type,type,
surjective: $i > $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(funcSet_type,type,
funcSet: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(surjFuncSet,axiom,
( surjFuncSet
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( funcSet @ A @ B )
@ ^ [Xf: $i] : ( surjective @ A @ B @ Xf ) ) ) ) ).
thf(surjective,axiom,
( surjective
= ( ^ [A: $i,B: $i,Xf: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
=> ? [Xy: $i] :
( ( ( ap @ A @ B @ Xf @ Xy )
= Xx )
& ( in @ Xy @ A ) ) ) ) ) ).
thf('0',plain,
( surjective
= ( ^ [A: $i,B: $i,Xf: $i] :
! [Xx: $i] :
( ( in @ Xx @ B )
=> ? [Xy: $i] :
( ( ( ap @ A @ B @ Xf @ Xy )
= Xx )
& ( in @ Xy @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[surjective]) ).
thf('1',plain,
( surjective
= ( ^ [V_1: $i,V_2: $i,V_3: $i] :
! [X4: $i] :
( ( in @ X4 @ V_2 )
=> ? [X6: $i] :
( ( ( ap @ V_1 @ V_2 @ V_3 @ X6 )
= X4 )
& ( in @ X6 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( surjFuncSet
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( funcSet @ A @ B )
@ ^ [Xf: $i] : ( surjective @ A @ B @ Xf ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[surjFuncSet,'1']) ).
thf('3',plain,
( surjFuncSet
= ( ^ [V_1: $i,V_2: $i] :
( dsetconstr @ ( funcSet @ V_1 @ V_2 )
@ ^ [V_3: $i] : ( surjective @ V_1 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('4',plain,
( dsetconstrER
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(surjFuncSetFuncSurj,conjecture,
( dsetconstrER
=> ! [Xx: $i,Xy: $i,Xf: $i] :
( ( in @ Xf @ ( surjFuncSet @ Xx @ Xy ) )
=> ( surjective @ Xx @ Xy @ Xf ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ ( funcSet @ X10 @ X12 )
@ ^ [V_2: $i] :
! [X16: $i] :
( ( in @ X16 @ X12 )
=> ? [X18: $i] :
( ( in @ X18 @ X10 )
& ( ( ap @ X10 @ X12 @ V_2 @ X18 )
= X16 ) ) ) ) )
=> ! [X20: $i] :
( ( in @ X20 @ X12 )
=> ? [X22: $i] :
( ( ( ap @ X10 @ X12 @ X14 @ X22 )
= X20 )
& ( in @ X22 @ X10 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ ( funcSet @ X10 @ X12 )
@ ^ [V_2: $i] :
! [X16: $i] :
( ( in @ X16 @ X12 )
=> ? [X18: $i] :
( ( in @ X18 @ X10 )
& ( ( ap @ X10 @ X12 @ V_2 @ X18 )
= X16 ) ) ) ) )
=> ! [X20: $i] :
( ( in @ X20 @ X12 )
=> ? [X22: $i] :
( ( ( ap @ X10 @ X12 @ X14 @ X22 )
= X20 )
& ( in @ X22 @ X10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( in @ sk__7
@ ( dsetconstr @ ( funcSet @ sk__5 @ sk__6 )
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__6 )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__5 )
& ( ( ap @ sk__5 @ sk__6 @ Y0 @ Y2 )
= Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl51,plain,
( ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__6 )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__5 )
& ( ( ap @ sk__5 @ sk__6 @ Y0 @ Y2 )
= Y1 ) ) ) ) )
@ sk__7 ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl52,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ sk__6 )
=> ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__5 )
& ( ( ap @ sk__5 @ sk__6 @ sk__7 @ Y1 )
= Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( in @ ( sk__9 @ X0 ) @ sk__5 )
| ~ ( in @ X0 @ sk__6 ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ( ( ap @ sk__5 @ sk__6 @ sk__7 @ ( sk__9 @ X0 ) )
= X0 )
| ~ ( in @ X0 @ sk__6 ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl2,plain,
! [X3: $i] :
( ( ( ap @ sk__5 @ sk__6 @ sk__7 @ X3 )
!= sk__8 )
| ~ ( in @ X3 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ( X0 != sk__8 )
| ~ ( in @ X0 @ sk__6 )
| ~ ( in @ ( sk__9 @ X0 ) @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl2]) ).
thf(zip_derived_cl60,plain,
( ~ ( in @ ( sk__9 @ sk__8 ) @ sk__5 )
| ~ ( in @ sk__8 @ sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl1,plain,
in @ sk__8 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl61,plain,
~ ( in @ ( sk__9 @ sk__8 ) @ sk__5 ),
inference('simplify_reflect+',[status(thm)],[zip_derived_cl60,zip_derived_cl1]) ).
thf(zip_derived_cl64,plain,
~ ( in @ sk__8 @ sk__6 ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl61]) ).
thf(zip_derived_cl1_001,plain,
in @ sk__8 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl66,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU802^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eV4kaXI5yT true
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 20:10:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78 % Solved by lams/40_c.s.sh.
% 0.20/0.78 % done 6 iterations in 0.033s
% 0.20/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.78 % SZS output start Refutation
% See solution above
% 0.20/0.78
% 0.20/0.78
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.78 % Terminating...
% 1.20/0.87 % Runner terminated.
% 1.72/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------